Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Terms, Formulas, and Sequents
- 3 Sequent Calculus Proof Rules
- 4 Classical and Intuitionistic Logics
- 5 Two Abstract Logic Programming Languages
- 6 Linear Logic
- 7 Formal Properties of Linear Logic Focused Proofs
- 8 Linear Logic Programming
- 9 Higher-Order Quantification
- 10 Specifying Computations Using Multisets
- 11 Collection Analysis for Horn Clauses
- 12 Encoding Security Protocols
- 13 Formalizing Operational Semantics
- Solutions to Selected Exercises
- References
- Index
13 - Formalizing Operational Semantics
Published online by Cambridge University Press: 01 December 2025
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Terms, Formulas, and Sequents
- 3 Sequent Calculus Proof Rules
- 4 Classical and Intuitionistic Logics
- 5 Two Abstract Logic Programming Languages
- 6 Linear Logic
- 7 Formal Properties of Linear Logic Focused Proofs
- 8 Linear Logic Programming
- 9 Higher-Order Quantification
- 10 Specifying Computations Using Multisets
- 11 Collection Analysis for Horn Clauses
- 12 Encoding Security Protocols
- 13 Formalizing Operational Semantics
- Solutions to Selected Exercises
- References
- Index
Summary
This chapter focuses on using logic programming to formalize the operational semantics of programming languages. It illustrates this with examples such as the call-by-value lambda calculus and the pi-calculus. The chapter discusses how to encode transition systems in sequent calculus and abstract machines as binary logic programs. It explores using linear logic to add side-effects to evaluation and specify concurrency primitives. Bibliographic notes direct the reader to relevant literature on formal semantics and logic-based approaches to language specification.
Information
- Type
- Chapter
- Information
- Proof Theory and Logic ProgrammingComputation as Proof Search, pp. 261 - 279Publisher: Cambridge University PressPrint publication year: 2025
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