Truth in Mathematics: The Question of Pluralism∗ Peter Koellner “. . . before us lies the boundless ocean of unlimited possibilities.” —Carnap, The Logical Syntax of Language

Source URL: logic.harvard.edu

REDO Redesigning Logical Syntax Action de Recherche Collaborative 2009 INRIA Saclay - Île-de-France

Source URL: www.lix.polytechnique.fr

REDO — Redesigning Logical Syntax • What is it about ? Proofs are everywhere! — We are trying to improve them. • What is the problem ? Remove bureaucracy but keep the computational content.

Source URL: www.lix.polytechnique.fr

Expressive Logical Combinators for Free Pierre Genevès (CNRS) Joint work with Alan Schmitt (Inria) IJCAI, July 30th 2015, Buenos Aires

Source URL: tyrex.inria.fr

• Logic
• Theoretical computer science
• Logic in computer science
• Mathematics
• Lambda calculus
• Formal languages
• Mathematical logic
• Syntax
• Combinatory logic
• FO
• Well-formed formula
• Logic programming

Crafting a Proof Assistant Andrea Asperti, Claudio Sacerdoti Coen, Enrico Tassi, and Stefano Zacchiroli Department of Computer Science, University of Bologna Mura Anteo Zamboni, 7 – 40127 Bologna, ITALY {asperti,sacerd

Source URL: matita.cs.unibo.it

• Logic
• Computing
• Mathematics
• Automated theorem proving
• Proof theory
• Type theory
• Logical truth
• Syntax
• Matita
• Proof assistant
• Mathematical proof
• CurryHoward correspondence

predicate logic logical verification week

Source URL: www.cs.ru.nl

• Logic
• Mathematical logic
• Predicate logic
• Propositional calculus
• Model theory
• Syntax
• First-order logic
• Well-formed formula
• Proposition
• Functional predicate
• Predicate variable
• Universal quantification

Rudolf Carnap FILOZOFIA I SKŁADNIA LOGICZNA Fragment książki pt. Philosophy and Logical Syntax London 1935 Cz. I. Odrzucenie metafizyki

Source URL: filozofiauw.wdfiles.com

Encoding Intonational Information in a Logical Grammar Chris Worth (Ohio State University) The discrepancy between syntactic structure and intonational structure is well known. This makes it particularly difficult to sim

Source URL: www.ling.ohio-state.edu

• Formal languages
• Logic
• Syntax
• Grammar
• Language
• Type theory
• Categorial grammar
• Formal grammar
• Linear logic

Generating Quantifiers and Negation to Explain Homework Testing Jason Perry and Chung-chieh Shan Rutgers University Department of Computer Science

Source URL: paul.rutgers.edu

• Logic
• Grammar
• Linguistics
• Semantics
• Syntax
• Predicate logic
• Grammatical Framework
• Logical Form
• Quantifier
• Parsing
• Phrase structure rules
• Categorial grammar

logical verificationexercises 2 Exercise 1. This exercise is concerned with dependent types. We use the following definition in Coq: Inductive natlist_dep : nat -> Set := | nil_dep : natlist_dep 0

Source URL: www.cs.ru.nl

• Logic
• Mathematical logic
• Mathematics
• Type theory
• Propositional calculus
• Syntax
• Predicate logic
• CurryHoward correspondence
• Dependent type
• Lambda calculus
• First-order logic
• Proposition