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Program Proofs

This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and;

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Metamathematics, Machines and Godel's Proof

of Goedel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics;

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Algebraic Semantics of Imperative Programs

Algebraic Semantics of Imperative Programs presents a self-contained and novel executable introduction to formal reasoning about imperative;

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Functional and Logic Programming

following topics: functional and logic programming; program transformation and re-writing; and extracting programs from proofs of their;

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Metamath

Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath;

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Concepts of Proof in Mathematics, Philosophy, and Computer Science

in natural language proofs and applications in computer science such as program extraction.;

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Building Proofs

This book introduces students to the art and craft of writing proofs, beginning with the basics of w;...

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Certified Programming with Dependent Types

technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools;

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Certified Programming with Dependent Types

of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof;

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Computational Logic and Set Theory

its application to proof verification techniques, culminating in the AEtnaNova system, a prototype computer program designed to verify the;

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The Joy of Geometry

optical illusions. So get out the rulers, compasses, or even a software program, and discover geometry for the first time.;

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Machine Proofs In Geometry

program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing;

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Sphere Packing, Lewis Carroll, and Reversi

. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers;

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QED at Large

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding;

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Understanding Mathematical Proof

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the sub;...

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Understanding Mathematical Proof

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the sub;...

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Proof in Geometry

This single-volume compilation of two books explores the construction of geometric proofs. In additi;...

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Types for Proofs and Programs

of type theory, extensions of linear logic, models of type theory, control operators in type systems, formal verification of programs, program;

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Proofs 101

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematic;...

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Proofs 101

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematic;...

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Mathematical Proofs

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the ;...

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Why Prove it Again?

This monograph considers several well-known mathematical theorems and asks the question, Why prove ;...

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Revolutions of Geometry

Based on the premise that in order to write proofs, one needs to read finished proofs as well as stu;...

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Revolutions of Geometry

Based on the premise that in order to write proofs, one needs to read finished proofs as well as stu;...

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How to Prove It A Structured Approach

Proofs play a central role in advanced mathematics and theoretical computer science, yet many studen;...

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How to Prove It

Proofs play a central role in advanced mathematics and theoretical computer science, yet many studen;...

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How to Prove It

Many students have trouble the first time they take a mathematics course in which proofs play a sign;...

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