PPT-A New Characterisation of Propositional Proofs

Iddo Tzameret Royal Holloway University of London Joint work with Fu Li Tsinghua and Zhengyu Wang Harvard Sketch 2 Sketch a major open problem in proof complexity stems from seemingly weak results. Backbones of propositional theories are literals that are true in every model Backbones have been used for characteri zing the hardness of decision and optimization problems Moreov er back bones 64257nd other applications For example backbones are o mindread. ?. Tadeusz. Zawidzki, GWU, Philosophy, MBEC, . zawidzki@gwu.edu. KNEW 2013, . Kazimierz. . Dolny. , Poland. Overview. What I mean by “mindreading”. What I mean by “why”. The received view and its discontents. Madhu Sudan. . MIT CSAIL. 09/23/2009. 1. Probabilistic Checking of Proofs. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. Can Proofs Be Checked Efficiently?. Jonathan Chambers. PhD Candidate. UCL Energy Institute, Centre of Energy Epidemiology. E. nergy in homes: climate and health. UK homes account for about 25% of energy use and CO2 emissions. Key sector to address to meet climate targets: . DPLL(T)-Based SMT Solvers. Guy . Katz. , Clark Barrett, . Cesare . Tinelli. , Andrew Reynolds, Liana . Hadarean. Stanford . University. The University. of Iowa. Synopsys. Producing Checkable Artifacts. Assertions;. t/f. Epistemological. commitment. Ontological. commitment. t/f/u. Deg. belief. facts. Facts. Objects. relations. Prop. logic. Prob. prop. logic. FOPC. Prob. FOPC. Atomic. PropositionalRelationalFirst order. Dave Morgan, Paul Johnston and Laurence Gill. Trinity College Dublin. Phil Collins. HRD Technologies Ltd. Kwabena Osei . Hydro International. morgandt@tcd.ie. Department of Civil, Structural & Environmental Engineering. In . logic. , a . tautology. (from the . Greek. word τα. υτολογί. α) is a . formula. that is true in every possible . interpretation. .. Philosopher. . Ludwig Wittgenstein. first applied the term to redundancies of . Nat 4/5. What is a characterisation techniques?. Characterisation. . is the process of developing a . role. . into a character. .. When creating a character, thought should be given to developing appropriate and distinctive . Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. To prove an argument is valid or the conclusion follows . Section 1.3. Section Summary. Tautologies, Contradictions, and Contingencies. . Logical Equivalence. Important Logical Equivalences. Showing Logical Equivalence. Normal Forms (. optional, covered in exercises in text. September 24. th. 2013.. Religious Experience: Revelation Through Sacred Texts. Revelation. Revelation. : Knowledge that is gained through the agency of God. Direct from an infallible source and unconditioned.. -Tuning foryourcombustionprocessDaniela Baris M. Sc.,Dr.-Ing. Hans-Joachim Gehrmann, Dr. Hartmut M