Craig's Interpolation Theorem formalised and mechanised in Isabelle/HOL
Tom Ridge
Abstract
We formalise and mechanise a construtive, proof theoretic proof of Craig's Interpolation Theorem in Isabelle/HOL. We give all the definitions and lemma statements both formally and informally. We also transcribe informally the formal proofs. We detail the main features of our mechanisation, such as the formalisation of binding for first order formulae. We also give some applications of Craig's Interpolation Theorem.
Create a lesson
Related papers
Challenging Benchmarks for Diagrammatic Equivalence of Circuits in TPTP and SMT-LIB
Julie Cailler, Noé Delorme, Sophie Tourret
Dynamic Polyhedral Logic
Nick Bezhanishvili, Laura Bussi, Vincenzo Ciancia et al.
Exact SAT and Constraint Programming for Job Shop Scheduling with Time-Varying Peak Power Constraints
Huy Tuan Nguyen, Duc Trung Kim Nguyen, Khanh To Van
Cycle time minimization for the simple assembly line balancing problem under peak power constraints
Bao Gia Hoang, Tuyen Van Kieu, Khanh Van To
Design and Empirical Characterization of a Hardware-Realized Turing Machine with Automated Card-Based Programming
Agrima Regmi, Jenish Pant, Pratistha Sapkota et al.
Comparison Invariants for Verifying Control Invariance
Promit Panja, André Platzer