slides - Kwarc

More documents

Recommendations

Info

$The LaTeXML Daemon: A LATEX Entrance to the Semantic Web$

$Mathematical Documents want to Active Digital Math ... - Kwarc$

Γ, x :A|B Γ|Σx:A B Γ|A (p1, a1, b1) (p2, a2, b2) Γ p1 πB (p1, a1) (p2, a2) πA p2 bi ∈ Γ, x :A|B(pi, ai) (ai, bi) ∈ Γ|Σx:A B(pi) ai ∈ Γ|A(pi) pi ∈ Γ 28
3. The Logic L, syntax and models ◮ Signatures of the logic L ◮ signatures of dependent type theory ◮ role assignments to distinguish sorts and judgments, and constants and proof rules ◮ a distinguished sort o :type of formulas ◮ a distinguished judgment true :o → type for the truth judgment ◮ L-models interpret judgments as singletons (true) or empty sets (false) ◮ Proof irrelevance 29
Page 1 and 2: Representing Logics and Logic Trans
Page 3 and 4: Premise Set/model theory Type/proof
Page 5 and 6: What is Logic? ◮ Field of mathema
Page 7 and 8: Representing Logics and Logic Trans
Page 9 and 10: Model Theory ◮ Propositions conta
Page 11 and 12: Motivation (1) ◮ Model and proof
Page 13 and 14: Logical Knowledge Management (LKM)
Page 15 and 16: Motivation (2) ◮ Give a generic s
Page 17 and 18: Overview (1) Set/model theory Type/
Page 19 and 20: Part 1: Combining Model and Proof T
Page 21 and 22: 1. Institutions with Proofs σ : Σ
Page 23 and 24: 1. Institutions with Proofs, formal
Page 25 and 26: 2. Model theory for dependent type
Page 27: 2. Model theory for dependent type
Page 31 and 32: 4. Representation example: first-or
Page 33 and 34: 4., 5. Representing Logics and Tran
Page 35 and 36: Conclusion ◮ L combines advantage
Page 37 and 38: Mmt: A Knowledge Representation Lan
Page 39 and 40: Meta-Theories ◮ Meta-relation bet
Page 41 and 42: Document and Theory Level Document
Page 43 and 44: Statement and Object Level ◮ Cons
Page 45 and 46: Foundations ◮ Well-formedness of
Page 47 and 48: Scalability ◮ Flexible flattening
Page 49 and 50: Future Work: Practice ◮ API: Scal
Page 51: Simple Things I Cannot Do ◮ Kripk

slides - Kwarc

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?