diff --git a/metadata/entries/FOL_Axiomatic.toml b/metadata/entries/FOL_Axiomatic.toml
--- a/metadata/entries/FOL_Axiomatic.toml
+++ b/metadata/entries/FOL_Axiomatic.toml
@@ -1,34 +1,35 @@
title = "Soundness and Completeness of an Axiomatic System for First-Order Logic"
date = 2021-09-24
topics = [
"Logic/General logic/Classical first-order logic",
"Logic/Proof theory",
]
abstract = """
This work is a formalization of the soundness and completeness of an
axiomatic system for first-order logic. The proof system is based on
System Q1 by Smullyan and the completeness proof follows his textbook
\"First-Order Logic\" (Springer-Verlag 1968). The completeness
proof is in the Henkin style where a consistent set is extended to a
maximal consistent set using Lindenbaum's construction and Henkin
witnesses are added during the construction to ensure saturation as
well. The resulting set is a Hintikka set which, by the model
-existence theorem, is satisfiable in the Herbrand universe."""
+existence theorem, is satisfiable in the Herbrand universe.
+Paper: doi.org/10.4230/LIPIcs.TYPES.2021.8."""
license = "bsd"
note = ""
[authors]
[authors.from]
homepage = "from_homepage"
[contributors]
[notify]
from = "from_email"
[history]
[extra]
[related]
diff --git a/metadata/entries/FOL_Seq_Calc2.toml b/metadata/entries/FOL_Seq_Calc2.toml
--- a/metadata/entries/FOL_Seq_Calc2.toml
+++ b/metadata/entries/FOL_Seq_Calc2.toml
@@ -1,42 +1,43 @@
title = "A Sequent Calculus Prover for First-Order Logic with Functions"
date = 2022-01-31
topics = [
"Logic/General logic/Classical first-order logic",
"Logic/Proof theory",
"Logic/General logic/Mechanization of proofs",
]
abstract = """
We formalize an automated theorem prover for first-order logic with
functions. The proof search procedure is based on sequent calculus and
we verify its soundness and completeness using the Abstract Soundness
and Abstract Completeness theories. Our analytic completeness proof
covers both open and closed formulas. Since our deterministic prover
considers only the subset of terms relevant to proving a given
sequent, we do so as well when building a countermodel from a failed
proof. We formally connect our prover with the proof system and
semantics of the existing SeCaV system. In particular, the
prover's output can be post-processed in Haskell to generate
human-readable SeCaV proofs which are also machine-verifiable proof
-certificates."""
+certificates.
+Paper: doi.org/10.4230/LIPIcs.ITP.2022.13."""
license = "bsd"
note = ""
[authors]
[authors.from]
homepage = "from_homepage"
[authors.jacobsen]
homepage = "jacobsen_homepage"
[contributors]
[notify]
from = "from_email"
jacobsen = "jacobsen_email"
[history]
[extra]
[related]
diff --git a/metadata/entries/Hybrid_Logic.toml b/metadata/entries/Hybrid_Logic.toml
--- a/metadata/entries/Hybrid_Logic.toml
+++ b/metadata/entries/Hybrid_Logic.toml
@@ -1,42 +1,43 @@
title = "Formalizing a Seligman-Style Tableau System for Hybrid Logic"
date = 2019-12-20
topics = [
"Logic/General logic/Modal logic",
]
abstract = """
This work is a formalization of soundness and completeness proofs
for a Seligman-style tableau system for hybrid logic. The completeness
result is obtained via a synthetic approach using maximally
consistent sets of tableau blocks. The formalization differs from
previous work in a few ways. First, to avoid the need to backtrack in
the construction of a tableau, the formalized system has no unnamed
initial segment, and therefore no Name rule. Second, I show that the
full Bridge rule is admissible in the system. Third, I start from rules
restricted to only extend the branch with new formulas, including only
witnessing diamonds that are not already witnessed, and show that
the unrestricted rules are admissible. Similarly, I start from simpler
versions of the @-rules and show that these are sufficient.
The GoTo rule is restricted using a notion of potential such that each
application consumes potential and potential is earned through applications of
the remaining rules. I show that if a branch can be closed then it can
be closed starting from a single unit. Finally, Nom is restricted by
-a fixed set of allowed nominals. The resulting system should be terminating."""
+a fixed set of allowed nominals. The resulting system should be terminating.
+Paper: doi.org/10.4230/LIPIcs.TYPES.2020.5."""
license = "bsd"
note = ""
[authors]
[authors.from]
homepage = "from_homepage"
[contributors]
[notify]
from = "from_email"
[history]
2020-06-03 = "The fully restricted system has been shown complete by updating the synthetic completeness proof."
[extra]
[related]