2 edition of **Hoare logic for GOLOG programs.** found in the catalog.

Hoare logic for GOLOG programs.

Yongmei Liu

- 102 Want to read
- 15 Currently reading

Published
**2000** by University of Toronto, Dept. of Computer Science in Toronto .

Written in English

The Physical Object | |
---|---|

Pagination | 106 leaves. |

Number of Pages | 106 |

ID Numbers | |

Open Library | OL19895596M |

ISBN 10 | 0612503496 |

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy.3/5(1). From Hoare Logic to Matching Logic Hoare logic: it eliminates the need for an additional semantics of the same language only to reason about programs, and implicitly eliminates the need for non-trivial and tedious correctness proofs. The soundness of matching logic has already been shown in [16]. This outstanding book is a leading text for symbolic or formal logic courses All techniques and concepts are presented with clear, comprehensive explanations and numerous, carefully constructed examples. Its flexible organization (all chapters are complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose. Buy The Logic Book 6 by Bergmann, Merrie, Moor, James, Nelson, Jack (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(26).

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Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer was proposed in by the British computer scientist and logician Tony Hoare, and subsequently refined by Hoare and other researchers.

The original ideas were seeded by the work of Robert W. Floyd, who had. Hoare Logic combines two beautiful ideas: a natural way of writing down specifications of programs, and a compositional proof technique for proving that programs are correct with respect to such specifications — where by "compositional" we mean that the structure of proofs directly mirrors the structure of the programs that they are about.

GOLOG programs are normally evaluated to obtain a binding for the exis- tentially quantified situation variable in the top-level call (3s)Do(progrum, S, s). The binding so obtained by a successful proof is a symbolic trace of the program execution, and denotes that sequence of actions which is to be performed in the external by: We'll develop a reasoning system called Floyd-Hoare Logic-- usually, if somewhat unfairly, shortened to just Hoare Logic-- in which each of the syntactic constructs of Imp is equipped with a single, generic "proof rule" that can be used to reason about programs involving this construct.

Hoare Logic Rules • Loops • { P } while (i File Size: KB. Where can I find more complicated examples of using Hoare logic to verify programs in Isabelle/HOL. I'm learning Z3 and want to input some verification condition as stated by the Hoare logic and obtain a model of the given Hoare triples.

I'm teaching a course on FOL and program verification inspired by the book Mordechai Ben-Ari. Hoare Logic: Proving Programs Correct / Analysis of Software Artifacts Jonathan Aldrich Reading: C.A.R. Hoare, An Axiomatic Basis for Computer Programming Some presentation ideas from a lecture by K.

Rustan M. Leino Analysis of Software Artifacts - Spring 3 Testing and Proofs • Testing • Observable properties • Verify File Size: KB. (Tony) Hoare The inventor of this week’s logic is also famous for inventing the Quicksort algorithm in - when he was just 26!A quote: Computer programming is an exact science in that all the properties of a program and all the consequences of executing it in any given en-File Size: KB.

Hoare logic expresses partial correctness. We say a program is partially correct if it gives the right answer whenever it terminates. It never gives a wrong answer, but it may give no answer at all. fPgS fQgdoes NOT imply that S terminates, even if P holds initially. For example fx = 1g while x=1 do y:=2 fx = 3g is true in Hoare logic.

COMP File Size: KB. Golog is a situation calculus-based logic programming language for high-level robotic control. This paper explores Hoare's axiomatic approach to program verification in the Golog context. Hoare logic [1–3] is a discipline for annotating programs with logical formulae, known as assertions, and for extracting logical formulae, known as proof obli-gations, out of such annotated programs.

The validity of the proof obligations, which can be veriﬁed either manually or mechanically, entails the correctness of the annotated program. The main issue here is that it is very important not to needlessly multiply all the mathematical statements you must refer to from the Hoare logic.

Another way of putting this is that a paper like Hoare's but which covers all the constructs in a popular language would be really long, redundant, and hard to. Hoare Logic offers two important things: a natural way of writing down specifications of programs, and a compositional proof technique for proving that these specifications are met — where by "compositional" we mean that the structure of proofs directly mirrors the structure of the programs that they are about.

I Hongseok Yang will show how separation logic allows Hoare-style reasoning on heap-manipulating programs I Can also be used to reason about concurrent programs sharing resources Supratik Chakraborty (I.I.T.

Bombay) A Short Introduction to Hoare Logic J 2 / Typical Golog programs for robot control are non-terminating. Analyzing such programs so far requires meta-theoretic arguments involving complex ﬁx-point construc-tions.

In this paper we propose a logic based on the situation calculus variant ES, which includes elements from branch-ing time, dynamic and process logics and where the meaning. Background reading on Hoare Logic Mike Gordon Learning Guide for the CST Part II course.

This document aims to provide background reading to support the lectures – think of it as a free downloadable textbook. Chapters 1–5 introduce classical ideas of speciﬁca-tion and proof of programs due to Floyd and Hoare.1 Although much of. The book lays a foundation for more theoretical courses like topology, analysis, and abstract algebra.

It highlights logic, proofs, and other basic objects and language used in higher mathematics. Book of Proof is an ultimate guidebook even for those having the slightest of the. The book does not contain description of any particular logic programming language, but gives mathematical foundations of logic programming, such as, Herbrand interpretations, unification, Resolution, SLDNF-resolution, the least Herbrand models and fix-points, computability Worth to by: I Classical Hoare logic requires to specify all variables which didn’t change.

This scales extremely bad for larger applications. I Tools avoid that need – e.g., SPARK’s data ﬂow analysis. –– S. Lucks Safe & Secure Software 4: Hoare Logic. Formulas of Hoare logic are asserted programs φ P ψ where P is a program and φ, ψ are assertions. The language of programs varies; in the survey of K.

Apt, one finds the language of while programs and various extensions of it. But the assertions are traditionally expressed in first Cited by: The presentation of Hoare logic in Hoare.v could be described as "model-theoretic": the proof rules for each of the constructors were presented as theorems about the evaluation behavior of programs, and proofs of program correctness (validity of Hoare triples) were constructed by.

Program Speciﬁcations, Hoare Logic Historically, the notions of this section were introduced by Floyd [4] and Hoare [6]. Propositions about programs To formally express properties of programs, we need a logic language. We use standard ﬁrst-order logic for this purpose.

We present a Hoare logic for a call-by-value programming language equipped with recursive, higher-order functions, algebraic data types, and a polymorphic type system in the style of Hindley and Milner.

It is the theoretical basis for a tool that extracts proof obligations out Cited by: Discover the best Logic in Best Sellers.

Find the top most popular items in Amazon Books Best Sellers. Handout C2: Reasoning About Code (Hoare Logic), CSE Spring 4 guaranteed to be correct.

We usually want to use the precondition that guarantees correctness for the broadest set of inputs. Stated differently, we want the weakest precondition: the most general precondition needed to File Size: KB.

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Hoare logics are "program logics" suitable for reasoning about imperative programs. This library formalizes the generation of PO (proof obligations) in a Hoare logic for a very basic imperative programming language. It proves the soundness and the completeness of the PO generation both in partial and total correctness.

When attempting to learn formal logic, you have to be wary of getting disillusioned and disheartened, oft times from the initial difficulty. Unlike normal education where we gather information, learning logic is trying to teach yourself how to thi.

A Logic of Agent Programs. built-in agents programming languages such as the Golog family (ConGolog, INDIGolog methodology for easy development of Hoare Logic verification tools using the. The way to a proper logic of programs was paved by Hoare, whose compositional proof method led to what is now known as Hoare logic.

By exploiting the syntactic structure of (imperative-style) programs, Hoare was able to turn the Floyd-Naur method into a true logic with as assertions so-called Hoare triples of the form \(\left\{P\right\}S\left Cited by: Tony Hoare said “Thus the practice of proving programs would seem to lead to solution of three of the most pressing problems in software and programming, namely, reliability, documentation, and compatibility.

However, program proving, certainly at present, will be difficulteven for programmers of. Hoare Logic for Parallel Programs Leonor Prensa Nieto Ap Abstract In the following theories a formalization of the Owicki-Gries and the rely-guarantee methods is presented.

These methods are widely used for cor-rectness proofs of parallel imperative programs with shared variables. The presentation of Hoare logic in chapter Hoare could be described as "model-theoretic": the proof rules for each of the constructors were presented as theorems about the evaluation behavior of programs, and proofs of program correctness (validity of Hoare triples) were constructed by.

Hoare Logic. Hoare Logic - An axiomatic basis for computer programming (, C.A.R. Hoare). Describes a deductive system for proving program correctness. A set of axioms and inference rules about asserted programs. Development to the logic is still.

Game-Theoretic Agent Programming in Golog Alberto Finzi1 and Thomas Lukasiewicz12 Abstract. We present the agent programming language GTGolog, which integrates explicit agent programming in Golog with game-theoretic multi-agent planning in Markov games.

It is a generaliza-tion of DTGolog to a multi-agent setting, where we have two com-Cited by: The book is designed for use in self-education and university environment. It is ideal for studying modeling and simulation with the free AnyLogic Personal Learning Edition.

The core of the book are four practical examples, covering all the main software functionality and allowing the users to get the basics of modeling and simulation with. Hoare Logic JariStenman February10, Jari Stenman Hoare Logic Febru 1 / So far we have proved properties of IMP, like type soundness, or properties of tools for IMP, like compiler correctness, but almost never properties of individual IMP programs.

The Isabelle part of the book has taught us how to prove properties of functional programs, but not of imperative ones. Program Verification with Hoare Logic 19 Using Hoare Logic in PALE 1. Require invariants at all while-loops and procedure calls (extra assertions are allowed) 2.

Split the program into Hoare triples: {P} S {Q} 3. Verify each triple separately (only loop/call-free code left) – including check for null-pointer dereferences and other memory errorsCited by: 1. Program Specications, Hoare Logic Historically, the notions of this section were introduced by Floyd [4] and Hoare [5].

Propositions about Programs To formally express properties of programs, we need a logic language. We use standard rst-order logic forthispurpose. Onespecicpoint, however. Logic genre: new releases and popular books, including The Skeptics' Guide to the Universe: How to Know What's Really Real in a World Increasingly Full o.We consider the problem of representing and reasoning about computer programs, and propose a translation from a core procedural iterative programming language to first-order logic with quantification over the domain of natural numbers that includes the usual successor function and the "less than" linear order, essentially a first-order logic with a discrete linear order.From Hoare Logic to Matching Logic Reachability Grigore Rosu¸ 1;2 and Andrei Stef¸anescu˘ 1 University of Illinois at Urbana-Champaign, USA 2 Alexandru Ioan Cuza University, Iasi,¸ Romania {grosu, stefane1}@ Abstract.

Matching logic reachability has been recently proposed as an alter.