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
8 - Linear Logic Programming
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 explores how logic programs can exploit linear logic. It provides several examples of specifying computations using linear logic, such as computing on collections of natural numbers and organizing simple theorem provers. It also illustrates how conventional program tasks, such as reversing a list or generating all permutations of a list, can be achieved in novel ways using linear logic programs. The chapter also demonstrates an alternative approach to specifying sequent calculus proof systems as logic programs. Bibliographic notes offer further references to the specification of logic programs.
Information
- Type
- Chapter
- Information
- Proof Theory and Logic ProgrammingComputation as Proof Search, pp. 172 - 186Publisher: Cambridge University PressPrint publication year: 2025
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