Results 51 to 60 of about 1,881,310 (251)
, 2004 Formalized mathematics currently does not look much like informal mathematics. Also, formalizing mathematics currently seems far too much work to be worth the time of the working mathematician. To address both of these problems we introduce the notion of a formal proof sketch.
openaire +2 more sources
Improvement and formal proof on protocol Otway-Rees
Tongxin xuebao, 2012 Choosing the authentication key distribution protocol Otway-Rees as the research object,using protocol composition logic (PCL) as proof tool,the security protocol analysis and formal proof was studied.Firstly,this paper gave the forms of security attack ...
Lai-feng LU, Xin-dong DUAN, Jian-feng MA
doaj +2 more sources
Formal Proof of a Machine Closed Theorem in Coq
Journal of Applied Mathematics, 2014 The paper presents a formal proof of a machine closed theorem of TLA+ in the theorem proving system Coq. A shallow embedding scheme is employed for the proof which is independent of concrete syntax.
Hai Wan +3 more
doaj +1 more source
Mathematics, 2023 The increasing significance of theorem proving-based formalization in mathematics and computer science highlights the necessity for formalizing foundational mathematical theories. In this work, we employ the Coq interactive theorem prover to methodically
Dakai Guo, Wensheng Yu
doaj +1 more source
Molecular Oncology, EarlyView.Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou +12 more
wiley +1 more source
Proof Patterns for Formal Methods [PDF]
, 2014 Design patterns represent a highly successful technique in software engineering, giving a reusable 'best practice' solution to commonly occurring problems in software design. Taking inspiration from this approach, this paper introduces proof patterns, which aim to provide a common vocabulary for solving formal methods proof obligations by capturing and
Leo Freitas, Iain Whiteside
openaire +1 more source
Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
Isabelle’s Metalogic: Formalization and Proof Checker [PDF]
, 2021 AbstractIsabelle is a generic theorem prover with a fragment of higher-order logic as a metalogic for defining object logics. Isabelle also provides proof terms. We formalize this metalogic and the language of proof terms in Isabelle/HOL, define an executable (but inefficient) proof term checker and prove its correctness w.r.t. the metalogic.
Tobias Nipkow, Simon Roßkopf
openaire +3 more sources
Loss of AMBRA1 activates MAPK and angiogenesis signaling pathways in melanoma cells
FEBS Open Bio, EarlyView.Loss of AMBRA1 in melanoma cells activates multiple oncogenic pathways associated with tumor progression. Transcriptomic and protein network analyses revealed that AMBRA1 depletion enhances MAPK/ERK signaling, angiogenesis, TGF‐β/EMT signaling, and Wnt/axon guidance pathways.
Milad Ibrahim +4 more
wiley +1 more source