1 First order logic and Peano arithmetics In order to make this presentation more self-contained, we first quickly recap some notions and results from formal logic. In the following, we use results and

Source URL: lepo.it.da.ut.ee

The ∇-Calculus. Functional Programming with Higher-order Encodings. Carsten Sch¨ urmann, Adam Poswolsky, Jeffrey Sarnat Yale University

Source URL: www.itu.dk

• Logic in computer science
• Lambda calculus
• Models of computation
• Combinatory logic
• First-order logic
• Substitution
• Symbol
• Natural deduction

Clausal Connection-Based Theorem Proving in Intuitionistic First-Order Logic Jens Otten Institut f¨ ur Informatik, University of Potsdam August-Bebel-Str. 89, 14482 Potsdam-Babelsberg, Germany

Source URL: www.jens-otten.de

Contributions to AI4FM 2015 The 6th International Workshop on the use of AI in Formal Methods Andrius Velykis

Source URL: www.ai4fm.org

• Software
• Theoretical computer science
• Formal methods
• Automated theorem proving
• Logic in computer science
• Proof assistants
• Formal verification
• Automated reasoning
• KeY
• Prover9
• Frama-C
• First-order logic

From Qualitative to Quantitative Proofs of Security Properties Using First-Order Conditional Logic Joe Halpern Cornell University

Source URL: csf2013.seas.harvard.edu

Simplex with Sum of Infeasibilities for SMT Tim King⇤ ⇤ New Clark Barrett⇤

Source URL: www.cs.utexas.edu

• Operations research
• Logic in computer science
• Electronic design automation
• Formal methods
• NP-complete problems
• Satisfiability modulo theories
• Simplex algorithm
• Linear programming
• Simplex
• First-order logic

Rely-Guarantee References for Refinement Types Over Aliased Mutable Data (Extended Version ∗) Colin S. Gordon, Michael D. Ernst, and Dan Grossman University of Washington {csgordon,mernst,djg}@cs.washington.edu

Source URL: homes.cs.washington.edu

• Mathematical logic
• Logic
• Theoretical computer science
• Logic in computer science
• Semantics
• Heap
• Predicate
• Immutable object
• Separation logic
• First-order logic
• Control
• FO

Automated reasoning for first-order logic Theory, Practice and Challenges Konstantin Korovin1 The University of Manchester UK

Source URL: www.cs.man.ac.uk

Constructing Markov Logic Networks from First-Order Default Rules Ondˇrej Kuˇzelka1 , Jesse Davis2 , and Steven Schockaert1 1 2

Source URL: www.ilp2015.jp

Practical Proof Reconstruction for First-order Logic and Set-Theoretical Constructions Cl´ement Hurlin, INRIA Sophia-Antipolis Amine Chaieb, Tjark Weber, Technische Universit¨at M¨ unche

Source URL: www.montefiore.ulg.ac.be